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Finding the Third Proportional to 73,881 and 158,265

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Solution

The third proportional to 73,881 and 158,265 is: 339,029.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,881 : 158,265 = 158,265 : x
  2. Step 2: Convert to fraction form
    73,881/158,265 = 158,265/x
  3. Step 3: Cross multiply
    73,881x = 158,265 × 158,265
  4. Step 4: Simplify right side
    73,881x = 25,047,810,225
  5. Step 5: Solve for x
    x = 25,047,810,225/73,881
  6. Step 6: Final answer
    x = 339,029.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.